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X(6), X(2086), X(2087), X(2088), X(52743)

X(6) acnodal point

vertices of cevian triangles of X(1) and X(6), see figure below

A', B', C' :feet of the anti-orthic axis

Consider a circum-conic passing through a point F on the circumcircle and its isogonal conjugate F*. This conic is clearly the isogonal transform of the line FF*. When F traverses the circumcircle, the locus of its perspector is K215.

If f denotes the transformation which associates to P the intersection of the trilinear polars of P and P* then K215 is the image of the circumcircle.